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Clone-selection and optimal rates of mutation

Published online by Cambridge University Press:  14 July 2016

Ilan Eshel
Ilan Eshel*
Affiliation:
Tel Aviv University
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Abstract

The paper employs methods of multitype branching processes to evaluate the probability of survival of mutable clones under environmental conditions which are unfavorable to the original parent of the clone. When other factors are taken to be constant, the long-term survival probability of a clone is implicitly demonstrated as a function of the intrinsic rate of mutation carried by this clone. The existence of a mutation rate which maximizes clone survival probability is shown and the effects of environmental deterioration on this optimal rate are studied. Finally, rigorous quantitative results are obtained for the classical situation of a Poisson distribution of offspring numbers. These results are then applied to the biological problem of indirect selection (Eshel (1972)).

Keywords

CLONE-SELECTIONRATE OF MUTATIONOPTIMAL RATE OF MUTATIONMODIFIER GENESOPTIMAL MODIFIER GENESMULTITYPE BRANCHING PROCESSESADAPTATIONINDIRECT ADAPTATIONEXTINCTION OF A POPULATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 4 , December 1973 , pp. 728 - 738
Copyright
Copyright © Applied Probability Trust 1973 

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References

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